Following information about an object'* motion is given: a = t2
Initial velocity = u
Find: (i) velocity (v) as a function of time.
(ii) Displacement (x) a function of time.
This is the case of motion with non-uniform acceleration. Acceleration is given as a function of time. Change in velocity can be found by integrating the expression for acceleration with respect to time. Displacement can be found by integrating the expression for velocity.